How far could you travel walking backwards in 15 minutes based on you speed for the 5 meter trial?

The outer surface area of this open top box is 102 [tex]m^{2}[/tex].

The outer surface area of this open top box is given by SA=2lw+2lh+2hw

l = 9m

w= 3m

h = 2m

SA = 2×9×3 + 2×3×2 + 2×2×9

SA = 102 [tex]m^{2}[/tex]

The quantity of space enclosing the exterior of a three-dimensional shape is its surface area.

By summing the areas of the base, top, and lateral surfaces (sides) of the object, one may determine the total surface area. This is accomplished by measuring in square units and applying various area calculations.

The total area that all of a 3D object's faces cover is the surface area. The surface area of a cube is its surface area, for instance, if we are trying to determine how much paint is needed to paint it. Always expressed in square units.

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Answer:

Step-by-step explanation:

Looking at the graphs we can state that:

A) Not a function as it fails the vertical line test. The three points has same x-coordinate of -1.

B) Not a function as it fails the vertical line test. The three points has same x-coordinate of 1.

C) Is a function as each x-value has a unique y-value:

D)  Is a function as each x-value has a unique y-value:

Step-by-step explanation:

Is true, even if we are not given the truth values of q, r and s.

Answer:

See explanation

Step-by-step explanation:

c=different number of colors

t=5s+50c   ==> c=2

t=5s+50(2)

t=5s+100

5 is the cost of making each shirt and 50 is the cost of making shirts in one color. Hence, 50c is the cost of making shirts in c number of colors and 5s is the cost of making s number of shirts. 50c translates to 50(2) since shirts are made in two colors, so 50(2)=100. 100 dollars is the total cost of making shirts in 2 different colors.

Using the normal distribution, the z-score of the height of a women 5.5 feet tall is 0.51.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Considering that each feet has 12 inches, the parameters are given as follows:

[tex]X = 5.5 \times 12 = 66, \mu = 64.1, \sigma = 3.7[/tex]

Hence the z-score is found as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (66 - 64.1)/3.7

Z = 0.51

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Using the relation between velocity, distance and time, the items and graphs are matched as follows:

1. D.

2. B.

3. A.

4. C.

Velocity is distance divided by time, that is:

v = d/t.

Hence the distance is given by:

d = vt.

Along a city street, we have that:

We can verify this that when graph C(velocity) is zero, graph D(position) is constant.

Along a superhighway we have that:

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Given that x is rational

By the property of addition, if 1 is added to any number, it exceeds the next number and doesn't remain the same.

Hence, x + 1 is not equal to x

The given statement is false.

Try This: For every rational number x, x + 0 = x. Is it true or false?

By the property of additive identity, any number added with 0, remains the same.

Hence, x + 0 = x, the given statement is true!

Answer:

use gauth math

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

what is the greatest common factor of 72 and 54 ?

in other words, what is the biggest number that divides both numbers without remainder ?

I use a prime factor analysis (identify all the prime factors).

72 :

72 ÷ 2 = 36

36 ÷ 2 = 18

18 ÷ 2 = 9

9 ÷ 2 no

9 ÷ 3 = 3

3 ÷ 3 = 1 finished

72 = 2⁴×3²

54 :

54 ÷ 2 = 27

27 ÷ 2 no

27 ÷ 3 = 9

9 ÷ 3 = 3

3 ÷ 3 = 1 finished

54 = 2×3³

the largest number that can divide them both without remainder is the combination of the prime factors they have in common :

2 × 3² = 18

3.71 thousand is written as 3,710

In figures, the digits in 3.71 thousand are separated with commas and written as 3,710.

The number 1 thousand in numbers is 1000 . Therefore, if we want to find x thousand in number form, we want to find x copies of 1000 in number form. To do this, we simply multiply x by 1000.

x thousand = x × 1000

This gives that to find 3.71 thousand in numbers, we multiply 3.71 times 1000.

3.71 × 1000 = 3710

If we want to write 3.71 thousand in words, then it will be written as

three thousand seven hundred ten.

Therefore, 3.71 thousand as a number is 3710 and It has 1 zeros.

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The expression of the statement is 26 = 13.5 +  m/2.5

Expressions are mathematical statements that are represented by variables, coefficients and operators

Rational expressions are expressions that are represented by the quotient of two polynomials or radicals.

This means that, a rational expression is represented by a fraction whose numerator and denominator are polynomials or radicals

The mathematical statement is given as

Twenty-six equals the sum of 13.5 and the quotient of a number and 2.5.

Let the number be m

So, we have

Twenty-six equals the sum of 13.5 and the quotient of m and 2.5.

Quotient means divide

So, we have

Twenty-six equals the sum of 13.5 and m/2.5

Sum means addition

So, we have

Twenty-six equals 13.5 +  m/2.5

Equals means =

So, we have

Twenty-six = 13.5 +  m/2.5

Rewrite as

26 = 13.5 +  m/2.5

Hence, the expression of the statement is 26 = 13.5 +  m/2.5

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Answer:

A. 26 = 13.5 + m/2.5; m = 5 is the correct equation and solution.

To explain, the word "quotient" indicates that we need to divide a number by 2.5. Let the unknown number be represented by the variable "m". Then, the quotient of a number and 2.5 can be written as m/2.5. The math sentence can be written as: 26 = 13.5 + m/2.5

To solve for "m", we can isolate it by subtracting 13.5 from both sides and then multiplying both sides by 2.5:

26 - 13.5 = m/2.5

12.5 = m/2.5

m = 12.5 * 2.5

m = 5

Therefore, the equation that represents the given math sentence is 26 = 13.5 + m/2.5, and the solution is m = 5. Option a is correct.

Answer:

-3

Step-by-step explanation:

The smallest one is chosen between the two negatives as all the rest are greater.

- 3 is smaller than - 6/5= -1.2 as 3 > 1.2

the answer is -3

Answer:

Answer:

The student's GPA is 3.12

Step-by-step explanation:

Multiply the grade by the weight to determine the grade point;

= (3.8 x 5) + (2.4 x 3) + (3.1 x 5) + (2.9 x 5)

= 19 + 7.2 + 15.5 + 14.5

= 56.2

Total weight = 5 + 3 + 5 + 5 = 18

GPA = 56.2/18

=3.12

Answer:

3 years

Step-by-step explanation:

Answer:

W = -3

Alternatively 2/5

Answer:

2/5,-3 or 0.4,-3 Bainlist please

Step-by-step explanation:

Answer:

C, adding -1 1/2 to the coordinate of point J.

Step-by-step explanation:

J= 1 1/5

Equation : 1 1/5+(-1 1/2)

Use distributive property and by multiplying the + sign by the negative #, you get a negative.

- positive x negative = negative

So, : 1 1/5-1 1/5

= 0

The expression of the statement is x^3 - 1

The mathematical statement is given as

1 is subtracted from the cube of a number.

Let the number be x

So, we have

1 is subtracted from the cube of x

The cube of x is x^3

So, we have

1 is subtracted from x^3

Rewrite as

x^3 - 1

Hence, the expression of the statement is x^3 - 1

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Given the area and height of the triangular pendant, the length of the base of the triangle is 10 inches.

The area of a triangle is expressed as;

A = 1/2 × base × height

Given the data in the question;

To determine the base of the triangular pendant, we plug the values into the equation above.

A = 1/2 × base × height

70 = 1/2 × base × 14

70 = 14/2 × base

70 = 7 × base

base = 70/7

base = 10 inches

Given the area and height of the triangular pendant, the length of the base of the triangle is 10 inches.

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Since money can appear as whole numbers, addition of money with mental math and addition of whole numbers with mental math is same.  The difference is that;

The term mental math refers to the method of completing mathematical calculations without the use of calculator or pen and paper. This is actual solving a mathematical problem and not memorizing answers. It is a quality one learns over time after understanding how to solve the problem.

Mental math covers addition subtraction and other mathematical solution methods. It is used to make calculations simpler and fairly easier.

This is a number that is not expressed as fraction or decimals. examples of whole numbers are 2, 5, 17, 200, -85 and so on. addition of such numbers can be done with mental math.

Since money can appear as whole numbers, addition of money with mental math and addition of whole numbers with mental math is same. The difference is that: Money addition is always in base ten and the unit is always same with the unit of the particular currency used. However whole numbers may occur is units outside the unit of money and in other number bases that is not base ten

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The length of each side of a regular pentagon

a)6.4cm

b) 32cm

a) A pentagon is 6.4cm to 1 decimal place it can see that the answer.

b) A pentagon has 5 sides.

The Pentagon was originally intended to be built on ground that had five sides surrounded by roadways, therefore the architects created a five-sided structure. The Pentagon serves as the Department of Defense of the United States' administrative center. During World War II, it was built on an accelerated schedule.

Any five-sided polygon or 5-gon is referred to as a pentagon in geometry (from the Greek word pente meaning five and gonia meaning angle). In a straightforward pentagon, the interior angles add up to 540°. A pentagon could be straightforward or self-intersect. A pentagram is a self-intersecting regular pentagon (sometimes known as a star pentagon).

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Answer:?

Step-by-step explanation:

Considering the sum of the internal angles of the polygon, it is found that the measures of the angles A and B are given as follows;

The sum of the internal angles of a polygon with n vertices is given by the following equation:

S = (n - 2) x 180º.

For this problem, the polygon has 6 vertices, hence n = 6 and the sum is given by:

S = (6 - 2) x 180º = 720º.

Considering each internal angle, we can solve for x as follows:

13x + 2 + 16x + 7 + 88 + 155 + 170 + 95 = 720

29x + 517 = 720

29x = 203

x = 203/29

x = 7.

Then the measures are given as follows:

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Answer: your answer is 1 and 1/2

Step-by-step explanation:

Applying the definition of the midpoint of a segment, we have:

x = 6

PR = 36 units

If point Q is the midpoint of segment PR, it therefore means that point Q bisects (divides) line segment PR into two equal parts, namely: PQ = QR.

Also, PQ + QR = PR

Given the following:

QR = 18

PR = 5x + 6

Thus, we can create the following equation:

2(QR) = PR

Substitute

2(18) = 5x + 6

36 = 5x + 6

36 - 6= 5x + 6 - 6

30 = 5x

30/5 = 5x/5

6 = x

x = 6

PR = 5x + 6

Plug in the value of x

PR = 5(6) + 6

PR = 36 units

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Using function concepts, it is found that:

1. The y-intercept of the graph of an equation will sometimes have a y-coordinate of 0.

2. If a linear equation contains only one variable, its graph will sometimes pass through the origin.

3. The statement is true.

The y-intercept of a function is the value of f(x) when x = 0, that is, the value of y for which the function crosses the y-axis.

If the function crosses the y-axis at y = 0, it will have a y-coordinate of 0, hence:

1. The y-intercept of the graph of an equation will sometimes have a y-coordinate of 0.

One example of linear equation with one variable is: y = 0.

Which passes through the origin, but y = 2 does not, hence:

2. If a linear equation contains only one variable, its graph will sometimes pass through the origin.

In item 3, the intercept is of By = 0 -> y = 0, hence when x = 0, y = 0, meaning that the statement is true, as the function will always pass through the origin.

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Answer:

Suggestions:

Make sure all words are spelled correctly.

Try different keywords.

Try more general keywords.

Try fewer keywords.

Step-by-step explanation: